Solution of Inhomogeneous Fractional Differential Equations with Polynomial Coefficients in Terms of the Green’s Function, in Nonstandard Analysis
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DOI: 10.3390/math9161944
Abstract: Discussions are presented by Morita and Sato in Mathematics 2017; 5, 62: 1–24, on the problem of obtaining the particular solution of an inhomogeneous ordinary differential equation with polynomial coefficients in terms of the Green’s… read more here.
Keywords: differential equation; solution inhomogeneous; polynomial coefficients; fractional differential ... See more keywords
The Symmetric Derivative and Related Operators for Symmetric Forms with Polynomial Coefficients in Rn
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DOI: 10.3390/sym17060860
Abstract: The symmetric derivative and related operators for symmetric forms with polynomial coefficients in Rn are investigated. The adjoints of these operators, with respect to the scalar product for symmetric forms with polynomial coefficients, are found… read more here.
Keywords: related operators; polynomial coefficients; derivative related; symmetric derivative ... See more keywords
Asymptotics and sign patterns of Hecke polynomial coefficients
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DOI: 10.4153/s0008439525000190
Abstract: Abstract We determine the asymptotic behavior of the coefficients of Hecke polynomials. In particular, this allows us to determine signs of these coefficients when the level or the weight is sufficiently large. In all but… read more here.
Keywords: sign patterns; hecke polynomial; asymptotics sign; polynomial coefficients ... See more keywords